Minimal Supersymmetric Standard Model Extended by One Additional Higgs Singlet and its Influence on the Anomalous Magnetic Moment of the Muon

We present the results of the influence of the minimal supersymmetric standard model extended by an additional Higgs singlet N, with vacuum expectation value $v_N$, on the anomalous magnetic moment of the muon. This gives different mass matrices for the charginos and neutralinos, which are taken into account within the relevant penguin diagrams leading to a contribution $\Delta a_{\mu}$\ to the anomalous magnetic moment of the muon. We show that a large vacuum expectation value for the Higgs singlet leads to a suppression of the supersymmetric contribution making it difficult to see in an experiment in the near future.}\hfill